{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# Plot multiple EMD\n",
    "\n",
    "\n",
    "Shows how to compute multiple EMD and Sinkhorn with two differnt\n",
    "ground metrics and plot their values for diffeent distributions.\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
    "#\n",
    "# License: MIT License\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pylab as pl\n",
    "import ot\n",
    "from ot.datasets import make_1D_gauss as gauss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate data\n",
    "-------------\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#%% parameters\n",
    "\n",
    "n = 100  # nb bins\n",
    "n_target = 50  # nb target distributions\n",
    "\n",
    "\n",
    "# bin positions\n",
    "x = np.arange(n, dtype=np.float64)\n",
    "\n",
    "lst_m = np.linspace(20, 90, n_target)\n",
    "\n",
    "# Gaussian distributions\n",
    "a = gauss(n, m=20, s=5)  # m= mean, s= std\n",
    "\n",
    "B = np.zeros((n, n_target))\n",
    "\n",
    "for i, m in enumerate(lst_m):\n",
    "    B[:, i] = gauss(n, m=m, s=5)\n",
    "\n",
    "# loss matrix and normalization\n",
    "M = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)), 'euclidean')\n",
    "M /= M.max()\n",
    "M2 = ot.dist(x.reshape((n, 1)), x.reshape((n, 1)), 'sqeuclidean')\n",
    "M2 /= M2.max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot data\n",
    "---------\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% plot the distributions\n",
    "\n",
    "pl.figure(1)\n",
    "pl.subplot(2, 1, 1)\n",
    "pl.plot(x, a, 'b', label='Source distribution')\n",
    "pl.title('Source distribution')\n",
    "pl.subplot(2, 1, 2)\n",
    "pl.plot(x, B, label='Target distributions')\n",
    "pl.title('Target distributions')\n",
    "pl.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute EMD for the different losses\n",
    "------------------------------------\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f60fcdd67f0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% Compute and plot distributions and loss matrix\n",
    "\n",
    "d_emd = ot.emd2(a, B, M)  # direct computation of EMD\n",
    "d_emd2 = ot.emd2(a, B, M2)  # direct computation of EMD with loss M2\n",
    "\n",
    "\n",
    "pl.figure(2)\n",
    "pl.plot(d_emd, label='Euclidean EMD')\n",
    "pl.plot(d_emd2, label='Squared Euclidean EMD')\n",
    "pl.title('EMD distances')\n",
    "pl.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute Sinkhorn for the different losses\n",
    "-----------------------------------------\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%%\n",
    "reg = 1e-2\n",
    "d_sinkhorn = ot.sinkhorn2(a, B, M, reg)\n",
    "d_sinkhorn2 = ot.sinkhorn2(a, B, M2, reg)\n",
    "\n",
    "pl.figure(2)\n",
    "pl.clf()\n",
    "pl.plot(d_emd, label='Euclidean EMD')\n",
    "pl.plot(d_emd2, label='Squared Euclidean EMD')\n",
    "pl.plot(d_sinkhorn, '+', label='Euclidean Sinkhorn')\n",
    "pl.plot(d_sinkhorn2, '+', label='Squared Euclidean Sinkhorn')\n",
    "pl.title('EMD distances')\n",
    "pl.legend()\n",
    "\n",
    "pl.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
